Answer:
x=10.82
Step-by-step explanation:
6^2+9^2=c^2
so
36+81=c^2
117=c^2
117/2=10.82
Answer:
Step-by-step explanation:
Given <u>v</u> = < - 5, 9 > then the magnitude is
| <u>v</u> | = 
= 
=
Answer:
Step-by-step explanation:
33000/0.27 =$8910
Answer:
-(x + 5)(3x + 1)
Step-by-step explanation:
Step 1: Factor out negative
-1(3x² + 16x + 5)
Step 2: Factor quadratic
-(x + 5)(3x + 1)
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
